The formula to find the area of a trapezoid is
[tex] A=\frac{1}{2} h(a+b) [/tex]
It has a base that measures 8 in = a
And the other side that is parallel to base is 21 in. = b
Let the height of the trapezoid = h
The trapezoid has an area of 166.75 in²
Substituting the values we get
[tex] \frac{1}{2}h(8+21)=166.75 [/tex]
14.5h = 166.75
Dividing by 14.5 on both sides we get
h = 11.5 in
The height of the trapezoid is 11.5 in.
